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Related lectures (31)
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Hilbert Spaces: Definition and Properties
Covers the definition and properties of Hilbert spaces, including the Cauchy-Schwarz inequality and norm definition.
Analytical Study of Space
Covers the analytical study of space, focusing on points, lines, and planes.
Bounded Operators: Theory and Applications
Covers bounded operators between normed vector spaces, emphasizing the importance of continuity and exploring applications like the Fourier transform.
Banach Spaces: Reflexivity and Convergence
Explores Banach spaces, emphasizing reflexivity and sequence convergence in a rigorous mathematical framework.
Functional Analysis: Banach and Hilbert Spaces
Covers Banach and Hilbert spaces, separability, norm, continuity, and functional analysis.
Functional Analysis I: Foundations and Applications
Covers the foundations of modern analysis, introductory functional analysis, and applications in MAB111.
Functional Analysis I: Consequences of Baire Theorem
Explores the implications of Baire Theorem in functional analysis and metric spaces.
Linear Operators: Boundedness and Convergence
Explores linear operators, boundedness, and convergence in Banach spaces, focusing on Cauchy sequences and operator identification.
Measure Spaces: Integration and Inequalities
Covers measure spaces, integration, Radon-Nikodym property, and inequalities like Jensen, Hölder, and Minkowski.
Recollements: Building New Spaces by Gluing Together
Introduces recollements, showing how to build new spaces by assembling and gluing them together.
